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Finding the Fourth Proportional to 13,184.01, 18,193.83 and 7,215.54

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Solution

The fourth proportional to 13,184.01, 18,193.83 and 7,215.54 is: 9,957.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,184.01 : 18,193.83 = 7,215.54 : x
  2. Step 2: Convert to fraction form
    13,184.01/18,193.83 = 7,215.54/x
  3. Step 3: Cross multiply
    13,184.01x = 18,193.83 × 7,215.54
  4. Step 4: Simplify right side
    13,184.01x = 131,278,308.12
  5. Step 5: Solve for x
    x = 131,278,308.12/13,184.01
  6. Step 6: Final answer
    x = 9,957.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.